Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
Answer:
Yep!
Step-by-step explanation:
I'm not 100% sure if your first one is correct, but I know the second one is! Great job :)
Answer:
3:45 PM.
Step-by-step explanation:
We have been given that on Thursday afternoon at camp Alice played basketball and went swimming before dinner she spent 45 minutes playing basketball and one hour swimming dinner lasted for an hour. The dinner ended at 5:30 PM.
Since she spent 1 hour for swimming, so 1 hour before 5:30 PM would be 4:30 PM.
To find the time, when Alice started playing basketball, we need to find 45 minutes before 4:30 PM.
30 minutes before 4:30 PM would be 4:00 PM and 15 minutes before 4:00 PM would be 3:45 PM.
Therefore, Alice started playing basket ball at 3:45 PM.
